1066337280 has 264 divisors, whose sum is σ = 3757260312. Its totient is φ = 279576576.

The previous prime is 1066337273. The next prime is 1066337281. The reversal of 1066337280 is 827336601.

It is a happy number.

1066337280 is a `hidden beast` number, since 10 + 6 + 633 + 7 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7225344 + 1059111936 = 2688^2 + 32544^2 .

It is a super-3 number, since 3×1066337280³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1066337281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3363682 + ... + 3363998.

Almost surely, 2^1066337280 is an apocalyptic number.

1066337280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066337280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878630156).

1066337280 is an abundant number, since it is smaller than the sum of its proper divisors (2690923032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1066337280 is a wasteful number, since it uses less digits than its factorization.

1066337280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1066337280 is about 32654.8201648700. The cubic root of 1066337280 is about 1021.6407273182.

The spelling of 1066337280 in words is "one billion, sixty-six million, three hundred thirty-seven thousand, two hundred eighty".